SOLUTION: With a radius of 1,429.25" what is the rise and arc length for a cord length of 60"? Thanks in Advance.

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Question 1041799: With a radius of 1,429.25" what is the rise and arc length for a cord length of 60"? Thanks in Advance.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So form a isosceles triangle with two sides 1429.25 and the remaining side equal to 60.
The vertex angle would then,
sin%28theta%2F2%29=%2860%2F2%29%2F1429.25
sin%28theta%2F2%29=0.02099
theta%2F2=1.20272
theta=2.4054
or in radians,
theta=0.04198
So then the arc length is
S=R%2Atheta
S=1429.25%2A.04198
S=60.0inches
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.
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If we split the isosceles triangle into two equal right triangles, we can find the length of the other leg.
%2860%2F2%29%5E2%2BL%5E2=1429.25%5E2
L=1428.935
So then the rise, Z, is equal to this leg subtracted from the radius,
Z=1429.25-1428.935
Z=0.31